You're right, John, that it comes down to what your political base will accept.   But the question is whether the Republican base tends to get upset---and think the rest of the country should also be outraged-- over what is actually trivial as far as governing the country. As I recall, a similar situation happened in--was it 1884? Cleveland had fathered a child out of wedlock. The Republican--Tilden?--was involved in financial corruption. One famous editorial came to the conclusion, that since Tilden was blameless in his family life, he should be given the opportunity to remain to adorn his home with his exemplary moral conduct--and not the White House. Voters agreed that Tilden's conduct rather than Cleveland's should be more significant in determining suitability for the presidency.